answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksenya-84
11 days ago
7

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

Mathematics
2 answers:
Svet_ta [4.3K]11 days ago
5 0

We start with

f(x)=x^{2}-2x-3

To find the roots, set the function to zero

x^{2}-2x-3=0

Cluster like terms and shift the constant to the opposite side

x^{2}-2x=3

Complete the square, ensuring to maintain equation balance by adding the same constants to both sides.

x^{2}-2x+1=3+1

x^{2}-2x+1=4

Rewrite in the form of perfect squares

(x-1)^{2}=4

Take the square root of both sides

(x-1)=(+/-)2

x=1(+/-)2

x=1+2=3

x=1-2=-1

Thus,

the answer is

x=3

babunello [3.6K]11 days ago
3 0
X^2 - 2x - 3 = 0

(x - 3)(x + 1) = 0

Solving yields x + 1 = 0
Thus, x = -1

Also from x - 3 = 0
We find x = 3

Therefore, the missing value is 3.
You might be interested in
−4x+60<72 or 14x+11<−31 solve for x
Leona [4166]
The answer to your question is x = 8
5 0
10 days ago
Read 2 more answers
Express x in term of y:x/7+2y=6​
AnnZ [3877]

Answer:

You need to multiply the denorminator both sides in order to form x note the subject:

\frac{x}{7 + 2y} = 6

x = 6(7 + 2y)

8 0
12 days ago
Including Jose, there are eight people in his family.
lawyer [4008]

Answer:

840

Step-by-step explanation:

As the arrangement matters, we apply the permutations formula to find the solution.

Permutations formula:

The count of possible arrangements of x items chosen from a total of n items is defined by this formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

For this problem:

Jose occupies the first seat.

The other four can be arranged among the remaining 7 family members. Thus

P_{(7,4)} = \frac{7!}{(7-4)!} = 840

Hence, the final answer is:

840

7 0
7 days ago
Read 2 more answers
a video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
PIT_PIT [3919]

The slope equals $0.10        (since $1.00 per 10 tokens translates to $0.10 per token)

The y-intercept is $60    (the fixed yearly membership fee)

The linear equation is y = 0.10x + 60    (following y = mx + b)  

The domain consists of all x values where x ≥ 0        (negative token quantities are impossible)

The range includes all y values with y ≥ 60        (plugging the domain values into the function)

The y-intercept of this function stands at $60

6 0
13 days ago
Read 2 more answers
What values of b satisfy 4(3b + 2)2 = 64?
lawyer [4008]
Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain (3b + 2)² = 16. By taking the square root of both sides, we derive two cases: (3b + 2) = 4 and (3b + 2) = -4. Solving each equation for b yields: 3b = 2 or 3b = -6, leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.
8 0
8 days ago
Other questions:
  • Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real n
    8·1 answer
  • Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
    7·1 answer
  • You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get o
    13·1 answer
  • Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si
    12·2 answers
  • If m∠DEF = 117°, find the value of x
    12·1 answer
  • S=2(lw+lh+wh) solve for w
    7·2 answers
  • you buy 6 notebooks, 10 folders, 1 pack of pencils, and 1 lunch box for school. after using a $10 gift card, how much do you owe
    11·1 answer
  • HELP ASAP!!! (25 points and I’ll mark brainliest!!!!)
    5·1 answer
  • Krystal gets paid $750 every two weeks. She wants to save money for next month's rent but she also needs clothes. Does Krystal h
    12·2 answers
  • A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!